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Mathletes in motion

In this lesson, students use mathematical modelling in measurement (comparing and evaluating sports results) to explain equivalence between fractions, decimals and percentages, and represent rational numbers on a number line.

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Poker machines

In this lesson, students design a poker machine payout system which both guarantees a return of 85% of money invested, while also being fun and engaging for the player. Students then simulate these machines to test the ‘actual’ or real world payout of such machines, taking note of their feelings when playing. Ultimately, ...

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Lotto mania

In this lesson, students will simulate a lottery, and perform calculations to determine the small probability of their exact numbers being drawn from a lottery. They will also consider the financial investment that would be required to guarantee a lottery win, ultimately determining that such a strategy would end up costing ...

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Counter-intuitive probability

This lesson is designed to demonstrate the ways in which random chance can be counter-intuitive. Students will explore how assumptions made in probability can be risky and investigate how to perform precise calculations to answer probability questions. The lesson is outlined in detail including NSW curriculum links, learning ...

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Expressions, formulas and substitution

In the lesson ‘Formulating algebraic expressions’, students were introduced to variables and forming algebraic expressions. In this lesson, students continue to develop these skills and will explore substituting values into familiar and unfamiliar formulas to determine an unknown. Students explore substitution in a range ...

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First steps in mathematics: Measurement – Book 1

The content of this book is organised into topics including understanding units, and direct measuring.

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Walking the rope

Students develop an understanding of the proportion and relationships between fractions. They represent fractions using linear models and symbols and form a generalisation about fractions equivalent to one whole.

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How heavy is this frog/tin?

Use this diagnostic task to assess understanding of mass and units used to measure mass.

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Broken ruler

This task can be used to reveal whether students can use markings on a ruler to measure in centimetres and whether they understand how the number on the scale relates to the units.

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Easter Show games of chance

In this lesson, students will calculate the probability of an average person scoring a shot at a basketball game at the Easter Show. They will then use these probabilities to design a payout system which can absorb the losses from an average player winning big, whilst profiting from the average player who scores very poorly, ...

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Should you swap?

This lesson explores the classic probability problem, commonly known as the Monty Hall problem: having chosen what you think is the winning door with the money behind it, should you swap to another door when Monty offers you the opportunity? Students will first use probability language to define the problem. Students will ...

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Loot boxes

In this lesson, students will create their own video game concept, complete with a loot box system. They will then calculate the probability of obtaining all unique items to form a complete set, considering the challenges this random system entails and how the gambling system inherent could lead to unexpected losses. The ...

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What’s the cost?

This lesson explores gambling losses by comparing losses to other average household purchases. Students then explore how this money could be more profitably invested in a compound interest scheme over time. Finally, students are asked to critically reflect on the true social and financial cost of gambling and to consider ...

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Sports betting

In this lesson students will take ownership of a gambling organisation. They will look at long term statistics of various sporting matches to set the initial odds and then monitor live betting to adjust the odds they are offering gamblers, in order to demonstrate how sports betting organisations guarantee they always make ...

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Solving Linear Equations - Calculate

This unit of work focuses on solving linear equations. It includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas. A short quiz at the end of the AMSI Interactive will help students to test their understanding at the completion ...

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Measuring Mass - Calculate

The focus of this activity is to encourage students to measure, order, compare and check the mass of a range of objects using hefting (holding something to test its mass) or formal units of measure.

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Measurement (Measure My Island) - Calculate

This activity allows students to learn about measuring by measuring attributes of irregular shapes. The use of informal units is an important step in order to develop understandings of what it looks like when measuring the attributes of length, perimeter and area.

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Addition Foundation - Calculate

The focus of this activity is to discover if students can represent numbers, without the need to count from 1. If students ‘trust the count’ from here they will be able to use strategies to combine collections. If students do not ‘trust the count’ they may be able to combine two collections by counting by ones, but this ...

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Percentages - Calculate

In this unit, let’s look at how percentages are used in everyday life to compare changes in things and measure rates of change.

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Cuisenaire Rods Lesson Plan - Calculate

This lessons explores the use of Cuisenaire rods and uses play to introduce them to students.